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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 35 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 7p − 2 = 5. What is p?
  2. 2.Solve: 7m + 28 = 56. What is m?
  3. 3.Solve: 6p + 15 = 21. What is p?
  4. 4.Sneha is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  5. 5.Solve: 3x − 2 = 1. What is x?
  6. 6.Solve: t/5 + 7 = 14. What is t?
  7. 7.Solve: 2y − 1 = 17. What is y?
  8. 8.Kabir is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  9. 9.Solve: 2t + 2 = 10. What is t?
  10. 10.Solve: 3x − 14 = 13. What is x?
  11. 11.Rahul is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  12. 12.Solve: 2x − 7 = 11. What is x?
  13. 13.Solve: 2p + 28 = 42. What is p?
  14. 14.Solve: 4p + 2 = 30. What is p?
  15. 15.Solve: 9x + 3 = 30. What is x?
  16. 16.Solve: 5n − 4 = 21. What is n?
  17. 17.Solve: m/3 + 5 = 7. What is m?
  18. 18.Joseph’s mother is four times as old as Joseph. Their ages add up to 50 years. How old is Joseph?
  19. 19.Solve: 5(y + 8) = 55. What is y?
  20. 20.Kavya’s mother is twice as old as Kavya. Their ages add up to 39 years. How old is Kavya?
  21. 21.Pooja is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  22. 22.Solve: 3y − 19 = 23. What is y?
  23. 23.Solve: 8n + 16 = 96. What is n?
  24. 24.Solve: 6x + 1 = 31. What is x?
  25. 25.Solve: n/3 + 8 = 18. What is n?
  26. 26.Solve: 4y − 35 = 9. What is y?
  27. 27.Solve: 6p − 1 = 41. What is p?
  28. 28.Solve: 4m − 17 = 11. What is m?
  29. 29.Solve: 8y + 9 = 129. What is y?
  30. 30.Solve: 4(t + 9) = 60. What is t?
  31. 31.Meera thinks of a number, multiplies it by 8 and then adds 12. The result is 20. What is the number?
  32. 32.Solve: 9n − 66 = 60. What is n?
  33. 33.Aditya thinks of a number, multiplies it by 8 and then adds 20. The result is 132. What is the number?
  34. 34.Aditya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  35. 35.Solve: 2p + 3 = 27. What is p?
  36. 36.Solve: n/6 + 17 = 25. What is n?
  37. 37.Solve: 4(n + 3) = 32. What is n?
  38. 38.Solve: 2x + 8 = 30. What is x?
  39. 39.Saanvi thinks of a number, multiplies it by 3 and then adds 11. The result is 23. What is the number?
  40. 40.Solve: 2n + 6 = 18. What is n?

Answer key

  1. 1
  2. 4
  3. 1
  4. 5
  5. 1
  6. 35
  7. 9
  8. 5
  9. 4
  10. 9
  11. 5
  12. 9
  13. 7
  14. 7
  15. 3
  16. 5
  17. 6
  18. 10
  19. 3
  20. 13
  21. 11
  22. 14
  23. 10
  24. 5
  25. 30
  26. 11
  27. 7
  28. 7
  29. 15
  30. 6
  31. 1
  32. 14
  33. 14
  34. 10
  35. 12
  36. 48
  37. 5
  38. 11
  39. 4
  40. 6

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